Answers
To solve this problem, we need to factor both
⇒ numerator: [tex]x^2-4x+4[/tex]
⇒ denominator: [tex]x^2-4[/tex]
Let's factor:
⇒ [tex]x^2-4x+4=(x-2)(x-2)\\[/tex]
⇒ [tex]x^2-4=(x+2)(x-2)[/tex]
Let's put it back into the fraction:
[tex]\frac{x^2-4x+4}{x^2-4}=\frac{(x-2)(x-2)}{(x+2)(x-2)} =\frac{x-2}{x+2}*\frac{x-2}{x-2} =\frac{x-2}{x+2} *1=\frac{x-2}{x+2}[/tex]
Answer: Choice (3) or [tex]\frac{x-2}{x+2}[/tex]
Answer:
[tex]\frac{x-2}{x+2}[/tex]
Step-by-step explanation:
First, let's factor out the fraction into [tex]\frac{(x-2)^2}{(x+2)(x-2)}[/tex], now we can cancel out the [tex]x-2[/tex]. After we do that, our final answer is [tex]\frac{x-2}{x+2}[/tex].
Hope this helps! :)
Related Questions
Find the mean, median, mode, and range of the following data with and without outliers.
110, 64, 23, 95, 86, 17, 23, 100, 95, 67
HELP. td is the last day to finish hmw and I'm behind :,)
Answers
Answer:
mean: 68
median: 76.5
mode: 23, 95
range: 93
Step-by-step explanation:
Put numbers in order:
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
mean: sum of the terms / number of terms
sum of the terms: 17 + 23 + 23 + 64 + 67 + 86 + 95 + 95 + 100 + 110 = 680
number of terms: 10
680 / 10 = 68
median: number of terms / 2
10 / 2 = 5, 5th number on the list
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
between 67 and 86 since its an even number data set
67 + 86 / 2 = 76.5
mode: the most occurring number
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
- 17, 64, 67, 86, 100, 110 has 1 each
- 23 has 2
- 95 has 2
23 and 95 have the same reoccurring amount
range: max - min numbers
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
110 - 17 = 93
NO outliers
Hope this helps you a little more for your last day of finishing hmw :)
Let me know if you need anymore help !
OR have questions
can you guys please help me on this question
Answers
Answer:
2.44 units
Explanation:
[tex]\sf Arc \ Length = \dfrac{\theta}{360} * 2\pi r[/tex]
Here given:
∅ = 40°radius = 3.5Solve for AB:
[tex]\rightarrow \sf \dfrac{40}{360} *2(3.14)(3.5)[/tex]
[tex]\rightarrow \sf 2.4422...[/tex]
[tex]\rightarrow \sf 2.44 \quad (rounded \ to \ two \ decimal \ places)[/tex]
what type of association would you expect to see between the length of a movie and the number of actors in the movie
Answers
Answer:
positive association
Step-by-step explanation:
The longer a movie is, the more screen time it will have, and the more actors it will probably need.
ABCD is a parallelogram. Determine the measure of ∠B.
Answers
The measure of the ∠B of given parallelogram is 362 - 42x
In the above question, a figure which is known as Parallelogram is given, where the following angles are given :
Measure of ∠A = 6x + 14
Measure of ∠C = 9x - 7
Measure of ∠D = 17x + 5
We need to find, the measure of the ∠B
From the properties of a Parallelogram, we know that "The sum of all the interior angles of a parallelogram is equal to 360°". So using this property we'll find the measure of ∠B
Now,
∠A + ∠B + ∠C + ∠D = 360
16x + 14 + ∠B + 9x - 7 + 17x + 5 = 360
∠B + ( 16x + 9x + 17x ) = 360 - ( -14 + 7 -5)
∠B + 42x = 360 - (-2)
∠B = 362 - 42x
Hence, the measure of the ∠B is 362 - 42x
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Answer:
56 degrees
Step-by-step explanation:
Just did the Imagine Math
State if the three numbers can be the measures of the sides of a triangle. 11, 3, 8
Answers
we have three sides, let's look at the two smaller sides first.
check the picture below atop.
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check the picture below at the bottom
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 11.
so the third side being 11 is a no dice.
Mia is traveling in a car at a speed of 52.8 miles per hour. How many miles will she cover in 2 hours?
Answers
Answer:
52.8*2=105.6
Step-by-step explanation:
52 I'm per hour means in two hour she travels double times that is 105.6 miles per hour
se a model to solve: (3 points)
two sevenths plus three sevenths plus one seventh equals
Answers
Answer:
6/7
Step-by-step explanation:
all fractions have a common denominator which allows us to add all numerators and maintain the same denominator. 2+3+1=6, and put it back over 7. so 6/7.
Question content area top
Part 1
compares the heights of two plants to see which plant grows more per day. The table shows the height of Plant 1, in centimeters, over 5 days. The graph shows the height of Plant 2, in centimeters, over 10 days. says that since Plant 1 grows cm per day and Plant 2 grows cm per day, grows more per day. Answer parts a and b.
Answers
Answer:
Step-by-step explant 1 grows more
Step-by-step explanation:
plant 2 only grows one cm a day while plant 2 grows 1.6 cm a daycation:
A bag contains 8 red marbles, 4 blue marbles, and 1 green marble. if a marble is selected at
random, what is the probability that it is not blue?
Answers
Answer:
the odds that it not blue is 9 /13 or .692
Step-by-step explanation:
a1 = 10 and an =an -1 +2
Answers
I assume you're asking to solve for the n-th term in the sequence, [tex]a_n[/tex].
From the given recursive rule,
[tex]a_n = a_{n-1} + 2 \implies a_{n-1} = a_{n-2} + 2[/tex]
and by substitution,
[tex]\implies a_n = a_{n-2} + 2\times2[/tex]
Similarly,
[tex]a_n = a_{n-1} + 2 \implies a_{n-2} = a_{n-3} + 2[/tex]
[tex]\implies a_n = a_{n-3} + 3\times2[/tex]
The pattern continues, so that we can write the n-th term in terms of the 1st one:
[tex]a_n = a_1 + (n-1)\times2 \implies a_n = 10 + 2(n-1) = \boxed{2n+8}[/tex]
So the first few terms of the sequence are
{10, 12, 14, 16, 18, 20, …}
I'll give brainiest to whoever answers these correctly
1)The two-way table shows the results of a survey where students were asked if they were currently in elementary or middle school and if they owned a smartphone.
Of the middle school students, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
2)Which of the following can you conclude from the two-way table?
A) Middle school and elementary school students are equally likely to own a smartphone.
B) An elementary school student is more likely to own a smartphone than a middle school student.
C) A middle school student is more likely to own a smartphone than an elementary school student.
D)There is no association between the student's school and owning a smartphone.
Answers
1)The relative frequency of those who own a smartphone will be 45%.
2)A middle school student is more likely to own a smartphone than an elementary school student. Option C is correct.
What is the formula for calculating the joint relative frequency?Assume you need to compute the joint relative frequency of a certain category inside a larger category.
Then there's the proportion of that specific category's frequency to the total frequency of that large category.
Given data;
The total number of persons polled:
⇒216 (26 + 84 + 72 + 34)
⇒216
The number of persons who own a smartphone is calculated as follows:
⇒26 + 72
⇒98
The relative frequency of those who own a smartphone is calculated as;
[tex]\rightarrow\frac{98}{216} \times 100 \\\\ \rightarrow45 \%[/tex]
Hence,the relative frequency of those who own a smartphone will be 45%
2)A middle school student is more likely to own a smartphone than an elementary school student. Because the total of the middle school is more than the elementary school.
Hence,option C is correct.
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Find fifth roots of 4-4i
Answers
The graph of the parent tangent function was transformed such that the result is function f. f(x) = tan(x + 1) Which graph represents function f? OA. رہے O C. -4 -2 O D. f(x) 4- 2- -2- 2 B. f(x) 4- 2- H 0 -4 -2/ -2- f(x) 4- 2- D X 10 -4 -2 4 -22- f(x) 4. 2- Al X 0 -2 -2- -4- 2 4 2 X 4 X
Answers
Using translation concepts, it is found that graph D represents the function f(x) = tan(x + 1).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The function f(x) = tan(x + 1) is a translation of one unit to the left of g(x) = tan(x), which has g(0) = 0, hence at the translated function g(-1) = 0, which means that graph D represents the function f(x).
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Please help. What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
Answers
The area of the rhombus in the simplest radical form is 87 units²
Properties of a rhombusAll the sides are equal.Opposite sides are parallel.Diagonals are perpendicular to each other.Opposite angles are equal.Therefore,
area of the rhombus = ab / 2
where
a and b are the diagonalsTherefore,
tan 60 = x / 5
x = 5 tan 60
x = 8.66025403784
x = 8.7 units
area of the rhombus = (8.7 ×2) (5 × 2) / 2 = 17.4 (10) / 2 = 87 units²
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Sam is using the expression 2x/6y in class. What is the value of the expression when... x=15 and y= 1/3?
Answers
Answer:
the value of the expression will be 15.
Step-by-step explanation:
equation giver : 2x/6y
value of x given: 15
value of y given: 1/3
on putting the values in the equation,
2×15 / 6×1/3
= 30 / 6/3
on simplification,
= 30/2
= 15
therefore, the value of the expression will be 15
hope it helps!!please mark brainliest ♡How many solutions does the following equation have? -4x + 2x - 5 = 3x + 7
Answers
Answer:
one solution: -12/5
Step-by-step explanation:
Solution
To find how many solutions the equation has, we have to solve for the equation first!
Step 1: Combine like terms.
[tex](-4x+2x)+(-5)=3x+7[/tex] [tex]-2x-5=3x+7[/tex]Step 2: Subtract 3x from both sides.
[tex]-2x-5-3x=3x+7-3x[/tex] [tex]-5x-5=7[/tex]Step 3: Add 5 to both sides.
[tex]-5x-5+5=7+5[/tex] [tex]-5x=12[/tex]Step 4: Divide both sides by -5.
[tex]-5x/5=12/-5[/tex] [tex]x=-12/5[/tex]Therefore, the answer is one solution
Multiplication and dvision which number sentence is true? a. b. c. d.
Answers
b. and d.
Step-by-step explanation:
the sentence is true
8. In the diagram, the measure of the arc from A to B not
passing through C is 80 degrees. What is the measure of
angle ACB?
A. 20 degrees
B. 40 degrees
C. 80 degrees
D. 160 degrees
Answers
Step-by-step explanation:
for the same arc, the angle at the circumference of the circle is half of the angle at the center of the circle.
and the arc angle is normally representing the angle at the center of the circle.
therefore, the
angle ACB = arc angle AB / 2 = 80/2 = 40°
so, B is the right answer.
Guys, Please Help me Fast
Answers
I will help u so fast, first
you help me
can u answer this
some fanicial and environmental damages that have been made by cars.
please help me
this is exam
teacher giving us 10 minutes to discuss about and I am in washroom of school writing this
Step-by-Step Explanation:
1/7 = 1 x 2/7 x 2 = 2/14
3/14 = 3/14
Therefore,
1/7 + 3/14
= 2/14 + 3/14
= 5/14
Jillian guessed at random for each question on a true-false quiz of ten questions. what is the probability that she got exactly seven questions correct?
Answers
Answer:
11/64
Step-by-step explanation:
Each question can be answered in 2 ways
∴ Total ways in which 10 questions can be answered
=2¹⁰
No. of ways of guessing at least 7 questions
out of 10
=7 questions correct +8 questions correct
+9 questions correct +10 questions correct
= ¹⁰C7(1)⁷+ ¹⁰C8(1)⁸+ ¹⁰C9(1)⁹+ ¹⁰C10(1)¹⁰
= 120 + 45 + 10 +1
=176
..Required Probability =176/2¹⁰
.. =11×16/2¹⁰
=11/64
The area of a gym is 3,403 m squared. If the width of the gym is 41 m, what is the length of the gym?
Type your numerical answer below (without units). If necessary, round to the nearest whole number.
Answers
Answer:
83 m
Step-by-step explanation:
The missing dimension can be found by using the area formula. Fill in the given values, and solve for the remaining unknown value.
__
A = LW . . . . . area of a rectangle of length L and width W
3403 m² = L(41 m) . . . . with given values filled in
L = (3403 m²)/(41 m) = 83 m . . . . . . divide by the coefficient of L
The length of the gym is 83 meters.
the area of Zimbabwe is 390750km write this in standard form correct to three significant figures
Answers
Answer:
3.9075x10^5
Step-by-step explanation:
Hope this helps! ;-)
A vehicle is randomly selected. Let T be the event that
the vehicle is a truck and A be the event that the
vehicle has all-wheel drive. What is the value of P(T°
and A)?
A)0.06
B)0.20
C)0.32
D)0.80
Answers
Using it's concept, it is found that the desired probability is given as follows:
B) 0.20.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of a total of 165 vehicles, 33 are SUV's with no all wheel drive, hence the probability is given by:
p = 33/165 = 0.2.
Which means that option B is correct.
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Answer:
B) 0.20
Step-by-step explanation:
correct on edge
The perimeter of an isosceles triangle is 4 times the length of the shortest side. The longer sides are 4.5 ft longer than the shortest side. What is the length of each side of the triangle?
Answers
Answer:
Shorter side = 9 feetLonger sides = 13.5 feetStep-by-step explanation:
Let :
Shorter side = xLonger sides = x + 4.5Perimeter = 4xSolving
2(x + 4.5) + x = 4x2x + 9 + x = 4xx = 9 feetSolution
Shorter side = 9 feetLonger sides = 13.5 feetAnswer:
short side: 9 ftlonger sides: 13.5 ftStep-by-step explanation:
The given information lets us write two equations relating the side lengths.
__
setupLet L and S represent the lengths of the longer and shorter sides. We are told ...
S + L + L = 4S . . . . . the perimeter is 4 times the short side length
L = 4.5 +S
__
solutionUsing the second equation to substitute for L in the first equation, we have ...
S +2(4.5 +S) = 4S
9 = S . . . . . . . . . . . . . simplify, subtract 3S
L = 4.5 +S = 13.5
The shortest side is 9 ft; the longer sides are 13.5 ft.
__
Additional comment
The perimeter is 36 ft.
Lynn gave her nail technician a $5.40 tip. The tip was 18% of the cost of the manicure. write an equation to find b, the cost of the manicure
Answers
b=5.10/.15
b=34
If the ratio of iphones to total phones in a classroom is 5: 8 and there are 24 phones overall, how many iphones are there?
Answers
Answer:
The answer is 15
Step-by-step explanation:
Step-by-step explanation:
let the number of total phones be 8x and number of iPhones be 5x
now,
8x=24
or, x= 24/8 = 3
therefore
no. of iPhones = 5x = 5×3 = 15
i hope my answer is clear
Ammonia, nh3 (delta.hf = –46.2 kj), reacts with oxygen to produce water (delta.hf = –241.8 kj) and nitric oxide, no (delta.hf = 91.3 kj), in the following reaction: 4 upper n upper h subscript 3 (g) plus 5 upper o subscript 2 (g) right arrow 6 upper h subscript 2 upper o (g) plus 4 upper n upper o (g). what is the enthalpy change for this reaction? use delta h r x n equals the sum of delta h f of all the products minus the sum of delta h f of all the reactants.. –900.8 kj –104.6 kj 104.6 kj 900.8 kj
Answers
The enthalpy change (ΔH) for the reaction given the data from the question is –900.8 KJ
Data obtained from the question4NH₃ + 5O₂ —> 6H₂O + 4NOEnthalpy of ammonia, NH₃ = –46.2 KJEnthalpy of Oxygen = 0 KJEnthalpy of water, H₂O = –241.8 KJEnthalpy of nitric oxide, NO = 91.3 KJEnthalpy change (ΔH) =?How to determine the enthalpy changeΔHrxn = ∑ΔH(products) - ∑ΔH(reactants)
ΔHrxn = ∑[H(H₂O) + H(NO)] - ∑[H(NH₃) + H(O₂)]
ΔHrxn = [(6 × –241.8) + (4 × 91.3)] – [(4 × –46.2) + (5×0)]
ΔHrxn = –1085.6 + 184.8
ΔHrxn = –900.8 KJ
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Answer:
A: –900.8 kJ
Step-by-step explanation:
3x-y= 17
-x+y= -7
Help please
Answers
Answer:
y = -2
x = 5
Step-by-step explanation:
3x - y = 17
-x + y = -7
here we can find the sum of the two equations
2x = 10
x = 5
now we can just plug in the value of x to find y
-(5) + y = -7
y = -2
The formula for compound interest is
A = P (1 + r/100)t
where A is the total amount of money, P is the amount invested, r is the interest rate per compounding period, and t is the total number of years. What would be the total amount of money after 4 years if $1,000 were invested at 2% compounded annually?
Answers
Answer:
ProvideD :
Time ( T ) = 4 years , Principal ( P ) = $ 1000 , Rate ( R ) = 2 % paTo FinD :
Total amount of money ( A )SolutioN :
All you need to do is plug the values in the provided formula and solve for A[tex] \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} [/tex]
[tex] \longrightarrow \tt \: a = 1082.43216[/tex]
The total amount of money would be $ 1082.43216--------- HappY LearninG <3 ---------
Find the mean of this data set
(Show your work)
Answers
Answer:
3
Step-by-step explanation:
Find the sum of the data set and divide it by the number of data points in the set:
[tex]\text{Mean}=\frac{2+3+1+4+5+2+3+4+3}{9}=\frac{27}{9}=3[/tex]
Therefore, the mean of the data set is 3